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Solve the following equations:

1. [tex]\[
\left(10-\frac{2}{12} \div \frac{1}{6}\right) \times \frac{1}{3}=3
\][/tex]

2. [tex]\[
x-\frac{5}{6} x=\frac{3}{7}
\][/tex]

Sagot :

GinnyAnsweridn
我们要解下面的方程：

[tex]\[ x - \frac{5}{6}x = \frac{3}{7} \][/tex]

首先，我们对方程的左边进行简化。将 [tex]\( x \)[/tex] 和 [tex]\( \frac{5}{6}x \)[/tex] 合并成一项：

[tex]\[ x - \frac{5}{6}x = \frac{1}{6}x \][/tex]

所以，原方程变为：

[tex]\[ \frac{1}{6}x = \frac{3}{7} \][/tex]

接下来，我们通过两边同时乘以 6 来消去分母：

[tex]\[ x = \frac{3}{7} \times 6 \][/tex]

[tex]\[ x = \frac{18}{7} \][/tex]

简化后，我们得到：

[tex]\[ x \approx 2.57142857142857 \][/tex]

因此，方程 [tex]\( x - \frac{5}{6}x = \frac{3}{7} \)[/tex] 的解是：

[tex]\[ x = \frac{18}{7} \approx 2.57142857142857 \][/tex]
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